Finding the Fourth Proportional to 772.72, 1,066.18 and 457.82

Step by Step Solution

1. Step 1: Write the proportion equation
   772.72 : 1,066.18 = 457.82 : x
2. Step 2: Convert to fraction form
   772.72/1,066.18 = 457.82/x
3. Step 3: Cross multiply
   772.72x = 1,066.18 × 457.82
4. Step 4: Simplify right side
   772.72x = 488,116.24
5. Step 5: Solve for x
   x = 488,116.24/772.72
6. Step 6: Final answer
   x = 631.69